Solve 8/15(0.09)-(0.04)

$$\frac { 8 } { 15 } ( 0.09 ) - ( 0.04 )$$

Evaluate

$$0.008$$

Solution Steps

Convert decimal number 0.09 to fraction \frac{9}{100}.

$$\frac{8}{15}\times \frac{9}{100}-0.04$$

Multiply \frac{8}{15} times \frac{9}{100} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8\times 9}{15\times 100}-0.04$$

Do the multiplications in the fraction \frac{8\times 9}{15\times 100}.

$$\frac{72}{1500}-0.04$$

Reduce the fraction \frac{72}{1500} to lowest terms by extracting and canceling out 12.

$$\frac{6}{125}-0.04$$

Convert decimal number 0.04 to fraction \frac{4}{100}. Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{125}-\frac{1}{25}$$

Least common multiple of 125 and 25 is 125. Convert \frac{6}{125} and \frac{1}{25} to fractions with denominator 125.

$$\frac{6}{125}-\frac{5}{125}$$

Since \frac{6}{125} and \frac{5}{125} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{125}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{125}$$

Factor

$$\frac{1}{5 ^ {3}} = 0.008$$